anyone good at calc?

Question

if the tangent line to y=f(x) at (4,3) passes through the point (0,2) find f(4) and f'(4)

Answer 1

The line has an equation y = 0.25x + 2

f(4) = 3
f'(4) = 0.25

Answer 2

(4,3)and(0,2) are lied on the tangent line

m=(y1-y2)/(x1-x2)
= 1/4
=dy/dx
=y'

y=(1/4)x+c
at point (4,3)
3=(1/4)4+c
c=2

y=f(x)=(1/4)x+2

f(4)=3
f'(4)=1/4

Answer 3

This should help
http://www.math.hmc.edu/calculus/tutorials/tangent_line/